3 citations · 4 across the 3 of their papers we have counts for
4 papers
A Combined Finite Element and Finite Volume Method for Liquid Simulation
Tatsuya Koike, Shigeo Morishima, Ryoichi Ando
We introduce a new Eulerian simulation framework for liquid animation that leverages both finite element and finite volume methods. In contrast to previous methods where the whole…
Voros Coefficients for the Hypergeometric Differential Equations and Eynard-Orantin's Topological Recursion - Part II : For the Confluent Family of Hypergeometric Equations
Kohei Iwaki, Tatsuya Koike, Yumiko Takei
We show that the each member of the confluent family of the Gauss hypergeometric equations is realized as quantum curves for appropriate spectral curves. As an application, relatio…
Voros Coefficients for the Hypergeometric Differential Equations and Eynard-Orantin's Topological Recursion - Part I : For the Weber Equation
Kohei Iwaki, Tatsuya Koike, Yumiko Takei
We develop the theory of quantization of spectral curves via the topological recursion. We formulate a quantization scheme of spectral curves which is not necessarily admissible in…
Irregular Modified -Hypergeometric Systems
Francisco-Jesus Castro-Jimenez, Maria-Cruz Fernandez-Fernandez, Tatsuya Koike +1
A modified -hypergeometric system is a system of differential equations for the function where is a solution of an -hypergeometric system in varia…